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88755552 = 2532477983
BaseRepresentation
bin1010100101001…
…00110101100000
320012000020201200
411102210311200
5140210134202
612450201200
72125260354
oct522446540
9205006650
1088755552
11461113a6
1225883200
13155076a2
14bb05464
157bd2e1c
hex54a4d60

88755552 has 144 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 28244736.

The previous prime is 88755463. The next prime is 88755553. The reversal of 88755552 is 25555788.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88755498 and 88755507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88755553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069303 + ... + 1069385.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 288755552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88755552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

88755552 is an abundant number, since it is smaller than the sum of its proper divisors (175421088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88755552 is a wasteful number, since it uses less digits than its factorization.

88755552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its digits is 560000, while the sum is 45.

The square root of 88755552 is about 9421.0165056643. The cubic root of 88755552 is about 446.0653714497.

The spelling of 88755552 in words is "eighty-eight million, seven hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 79 83 94 96 141 144 158 166 188 237 249 282 288 316 332 376 423 474 498 564 632 664 711 747 752 846 948 996 1128 1264 1328 1422 1494 1504 1692 1896 1992 2256 2528 2656 2844 2988 3384 3713 3792 3901 3984 4512 5688 5976 6557 6768 7426 7584 7802 7968 11139 11376 11703 11952 13114 13536 14852 15604 19671 22278 22752 23406 23904 26228 29704 31208 33417 35109 39342 44556 46812 52456 59013 59408 62416 66834 70218 78684 89112 93624 104912 118026 118816 124832 133668 140436 157368 178224 187248 209824 236052 267336 280872 308179 314736 356448 374496 472104 534672 561744 616358 629472 924537 944208 1069344 1123488 1232716 1849074 1888416 2465432 2773611 3698148 4930864 5547222 7396296 9861728 11094444 14792592 22188888 29585184 44377776 88755552